# Super Cartan geometry and the super Ashtekar connection

@article{Eder2020SuperCG, title={Super Cartan geometry and the super Ashtekar connection}, author={Konstantin Eder}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2020} }

This work is devoted to the geometric approach to supergravity. More precisely, we interpret N = 1 supergravity as a super Cartan geometry which provides a link between supergravity and super Yang-Mills theory. To this end, we first review important aspects of the theory of supermanifolds and we establish a link between various different approaches. We will then use this gauge-theoretic interpretation and the methods of loop quantum gravity to canonically quantize this theory which preserves…

## 11 Citations

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